Least Common Multiple of 23/258, 6820/3310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/258, 6820/3310 quickly i.e. 78430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/258, 6820/3310 is 78430.

LCM(23/258, 6820/3310) = 78430

LCM of 23/258, 6820/3310

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 23/258,6820/3310

Given numbers are 23/258,6820/3310

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 23,6820

Least Common Multiple of Numerators i.e. LCM of 23,6820 is 156860.

GCF of Denominators means GCF of 258,3310 as per the given fractions.

GCF of 258,3310 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,6820

LCM of Fractions 23/258,6820/3310 is 78430

Given numbers has no common factors except 1. So, there LCM is their product i.e 156860

Least Common Multiple of 23,6820 with GCF Formula

Least Common Multiple of 23,6820 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 23,6820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,6820) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(23,6820) x common factors =1 x 1 = 1

LCM(23,6820) = ( 23 × 6820 ) / 1

LCM(23,6820) = 156860 / 1

LCM(23,6820) = 156860


Lets's calculate GCF of 258,3310

2 258, 3310
129, 1655

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 156860/2

Therefore the LCM of Fractions 23/258,6820/3310 is 78430

Greatest Common Factor of 258,3310 By Matching Biggest Common Factor Method

Greatest Common Factor of 258,3310 By Matching Biggest Common Factor Method

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Factors of 3310

List of positive integer factors of 3310 that divides 3310 without a remainder.

1,2,5,10,331,662,1655,3310

Greatest Common Factor

We found the factors 258,3310 . The biggest common factor number is the GCF number.
So the greatest common factor 258,3310 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 23/258, 6820/3310

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 23/258, 6820/3310?

Answer: LCM of Numerators as per given numbers 23/258, 6820/3310 is

LCM of Numerators i.e. for 23,6820 is 156860

GCF of denominators i.e. for 258,3310 is 2.

Thus, LCM of Fractions is 78430.Finally, LCM of Fractions for 23/258, 6820/3310 is 78430.